LCM of 586, 529, 673, 966, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 529, 673, 966, 561 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 586, 529, 673, 966, 561. So, keep reading to learn more.
Given numbers are 586,529,673,966,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,529,673,966,561 is 819274152774.
Find LCM of 586,529,673,966,561 with Prime Factorization
| 2 | 586, 529, 673, 966, 561 |
| 3 | 293, 529, 673, 483, 561 |
| 23 | 293, 529, 673, 161, 187 |
| 293, 23, 673, 7, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 293 x 23 x 673 x 7 x 187 = 819274152774
Therefore, the lowest common multiple of 586,529,673,966,561 is 819274152774.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
586 x 529 x 673 x 966 x 561 = 113059833082812
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
586 : 1, 2, 293, 586
529 : 1, 23, 529
673 : 1, 673
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,529,673,966,561, is 1.
Now, the common factors can be found like this.
586:2x 293
529:23x 23
673:673
966:2x 3x 7x 23
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 113059833082812/(1x138)
LCM = 113059833082812/138
LCM = 819274152774
Thus, we can understand that the LCM of 586,529,673,966,561 is 819274152774.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 586, 529, 673, 966, 561
1. What is the LCM of 586, 529, 673, 966, 561?
Answer: LCM of 586, 529, 673, 966, 561 is 819274152774.
2. How to calculate the LCM of 586, 529, 673, 966, 561?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 586, 529, 673, 966, 561.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.